SOLUTION: Two lines with slopes 3 and -4 intersect at a point P on the y-axis.If their x-intercepts are 14 units apart, find the distance of P from the origin.

Question 1151104: Two lines with slopes 3 and -4 intersect at a point P on the y-axis.If their x-intercepts are 14 units apart, find the distance of P from the origin.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Call the coordinates of point P (0,b).

Find the x intercept of a line with slope 3 passing through P(0,b):

Find the x intercept of a line with slope -4 passing through P(0,b):

Use the fact that the two x-intercepts are 14 units apart to determine b.

ANSWER: The distance of P from the origin is b = 24.

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